09-13 M. Lein, M. Mantoiu and S. Richard

Magnetic pseudodifferential operators with coefficients in C*-algebras (106K, tex) Jan 23, 09

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Abstract. In previous articles, a magnetic pseudodifferential calculus and a family of C*-algebras associated with twisted dynamical systems were introduced and the connections between them have been established. We extend this formalism to symbol classes of H\"ormander type with an x-behavior modelized by an abelian C*-algebra. Some of these classes generate C*-algebras associated with the twisted dynamical system. We show the relevance of these classes to the spectral analysis of pseudodifferential operators with anisotropic symbols and magnetic fields.

Files: 09-13.src( 09-13.comments , 09-13.keywords , pseudodifLMR.tex )